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The nonlinear tuned vibration absorber (NLTVA) is a recently-developed nonlinear absorber which generalizes Den Hartog's equal peak method to nonlinear systems. If the purposeful introduction of nonlinearity can enhance system performance,…

动力系统 · 数学 2016-04-20 Thibaut Detroux , Giuseppe Habib , Luc Masset , Gaetan Kerschen

This study addresses the mitigation of a nonlinear resonance of a mechanical system. In view of the narrow bandwidth of the classical linear tuned vibration absorber, a nonlinear absorber, termed the nonlinear tuned vibration absorber…

混沌动力学 · 物理学 2016-04-14 Giuseppe Habib , Thibaut Detroux , Regis Viguié , Gaetan Kerschen

This paper develops a principle of similarity for the design of a nonlinear absorber, the nonlinear tuned vibration absorber (NLTVA), attached to a nonlinear primary system. Specifically, for effective vibration mitigation, we show that the…

经典物理 · 物理学 2016-06-07 Giuseppe Habib , Gaetan Kerschen

Non-collocated vibration absorption (NCVA) concept using delayed resonator for in-situ tuning is analyzed and experimentally validated. There are two critical contributions of this work. One is on the scalable analytical pathway for…

系统与控制 · 电气工程与系统科学 2025-04-03 Matěj Kuře , Adam Peichl , Jaroslav Bušek , Nejat Olgac , Tomáš Vyhlídal

Simultaneous vibration control and energy harvesting of vehicle suspensions has attracted great research interests over the past decades. However, existing frameworks tradeoff suspension performance for energy recovery and are only…

系统与控制 · 电气工程与系统科学 2020-05-13 Kaian Chen , Zhaojian Li , Wei-Che Tai , Kai Wu , Yan Wang

This paper treats possible solutions for vibration mitigation in reduced-order model of partially-filled liquid tank under impulsive forcing. Such excitation may lead to hydraulic impacts applied on the tank inner walls. Finite stiffness of…

流体动力学 · 物理学 2017-08-23 Maor Farid , Nissim Levy , O. V. Gendelman

Nonlinear dynamics have long been exploited in order to damp vibrations in solid mechanics. The phenomenon of irreversible energy transfer from a linear primary system to a nonlinear absorber has driven great attention to the optimal design…

The Linear Parameter-Varying (LPV) framework has been introduced with the intention to provide stability and performance guarantees for analysis and controller synthesis for Nonlinear (NL) systems via convex methods. By extending results of…

系统与控制 · 电气工程与系统科学 2023-03-08 Patrick J. W. Koelewijn , Roland Tóth , Henk Nijmeijer , Siep Weiland

The Linear Parameter-Varying (LPV) framework has long been used to guarantee performance and stability requirements of nonlinear (NL) systems mainly through the $\mathcal{L}_2$-gain concept. However, recent research has pointed out that…

系统与控制 · 电气工程与系统科学 2020-05-14 P. J. W. Koelewijn , R. Tóth , H. Nijmeijer

We propose a control approach for a class of nonlinear mechanical systems to stabilize the system under study while ensuring that the oscillations of the transient response are reduced. The approach is twofold: (i) we apply our technique…

系统与控制 · 电气工程与系统科学 2022-06-22 Carmen Chan-Zheng , Pablo Borja , Jacquelien Scherpen

In this paper, we are concerned with the stabilization of linear port-Hamiltonian systems of arbitrary order $N \in \mathbb{N}$ on a bounded $1$-dimensional spatial domain $(a,b)$. In order to achieve stabilization, we couple the system to…

最优化与控制 · 数学 2018-09-12 Jochen Schmid , Hans Zwart

Slope limiters play an essential role in maintaining the non-oscillatory behavior of high-resolution methods for nonlinear conservation laws. The family of minmod limiters serves as the prototype example. Here, we revisit the question of…

数值分析 · 数学 2023-10-31 Jingcheng Lu , Eitan Tadmor

Aim of this work is the study of differential equations governing non--dissipative non--linear oscillators; these arise in different physical models such as the treatment of relativistic oscillators, up to generalizations to Duffing's…

经典分析与常微分方程 · 数学 2022-11-03 Martina Boschi , Daniele Ritelli , Giulia Spaletta

A new method for extracting the phase of oscillations from noisy time series is proposed. To obtain the phase, the signal is filtered in such a way that the filter output has minimal relative variation in the amplitude (MIRVA) over all…

混沌动力学 · 物理学 2009-11-10 A. G. Rossberg , K. Bartholome , J. Timmer

A linear vibration absorber can be tuned to effectively suppress the resonance of a particular vibration mode. It relies on the targeted energy transfer into the absorber within a narrow and fixed frequency band. Nonlinear energy sinks…

应用物理 · 物理学 2020-12-16 Timo Theurich , Johann Gross , Malte Krack

We propose a nonlinear fiber system for shot-noise limited, all-optical intensity-noise reduction and signal amplification. The mechanism is based on the accumulation of different nonlinear phase shifts between orthogonal polarization modes…

光学 · 物理学 2021-07-21 Marvin Edelmann , Yi Hua , Kemal Şafak , Franz X. Kärtner

Simultaneous vibration control and energy harvesting of vehicle suspensions have attracted significant research attention over the past decades. However, existing energy harvesting shock absorbers (EHSAs) are mainly designed based on the…

系统与控制 · 电气工程与系统科学 2022-06-13 Mohammad R. Hajidavalloo , Joel Cosner , Zhaojian Li , Wei-Che Tai , Ziyou Song

The stability properties of one-dimensional radiative shocks with a power-law cooling function of the form $\Lambda \propto \rho^2T^\alpha$ are the main subject of this work. The linear analysis originally presented by Chevalier & Imamura,…

天体物理学 · 物理学 2009-11-11 A. Mignone

The new perturbation theory for the problem of nonstationary anharmonic oscillator with polynomial nonstationary perturbation is proposed. As a zero order approximation the exact wave function of harmonic oscillator with variable frequency…

量子物理 · 物理学 2016-09-08 Alexander V. Bogdanov , Ashot S. Gevorkyan

We present the results of a detailed set of one-zone models that account for the coupling between pulsation and convection following the original prescriptions of Stellingwerf (1986). Motivated by the arbitrary nature of the input…

天体物理学 · 物理学 2009-11-10 A. Munteanu , G. Bono , J. Jose , E. Garcia-Berro , R. F. Stellingwerf
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